395618652 has 288 divisors, whose sum is σ = 1264134144. Its totient is φ = 102643200.

The previous prime is 395618651. The next prime is 395618681. The reversal of 395618652 is 256816593.

395618652 is a `hidden beast` number, since 3 + 9 + 561 + 86 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 395618598 and 395618607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395618651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5904723 + ... + 5904789.

Almost surely, 2^395618652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395618652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632067072).

395618652 is an abundant number, since it is smaller than the sum of its proper divisors (868515492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395618652 is a wasteful number, since it uses less digits than its factorization.

395618652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 164 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 395618652 is about 19890.1647052004. The cubic root of 395618652 is about 734.1062467003.

The spelling of 395618652 in words is "three hundred ninety-five million, six hundred eighteen thousand, six hundred fifty-two".